Some applications of new spline spaces in computer aided geometric design. (English) Zbl 1067.65020
Summary: Aim of this paper is to describe how the so-called variable degree polynomial spaces can be used for the construction of \(C^3\) spatial curves, approximating or interpolating a given set of data. Their main advantages rely in the easy control on their shape, provided by the variable degrees, and in the low computational cost, comparable with that of standard quintic splines.
MSC:
65D17 | Computer-aided design (modeling of curves and surfaces) |
65D05 | Numerical interpolation |
65D07 | Numerical computation using splines |
65D10 | Numerical smoothing, curve fitting |